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For each binary operation * defined below, determine whether * is (i) commutative (ii) associative \( a*b = \large\frac{ab}{2}\) on Q?
cbse
class12
modelpaper
2012
sec-b
q11
math
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asked
Jan 22, 2013
by
thanvigandhi_1
edited
Jul 23, 2013
by
sreemathi.v
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'*' is a binary operation defined on Q. Find which of the following binary oprations are associative and which are commutative : $(i) a*b=a-b\: for \: a,b \in Q (ii) a*b = \large\frac{ab}{4}$$\: for \: a,b \in Q.$
asked
Jan 16, 2013
by
thanvigandhi_1
cbse
class12
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0
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For each operation $\ast$ defined below, determine whether $\ast$ is binary, commutative or associative. $\begin{array}{1 1}(i) \;\;\; On\, Z,\, define \,a*b\, = a-b & \;\\(ii) \;\;\; On\, Q,\, define \,a*b\, = ab+1 & \;\\(iii) \;\;\; On\, Q,\, define \,a*b\, = \frac {ab} {2} & \;\\(iv) \;\;\; On\, Z^+, \, define\, a*b= 2^{ab} & \;\\(v) \;\;\; On\, Z^+,\, define \,a*b\, = a^b & \;\\(vi) \;\;\; On R - \{ -1\},\, define\, a*b= \frac {a} {b+1} & \;\end{array}$
asked
Nov 20, 2012
by
vaishali.a
cbse
class12
bookproblem
ch1
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sec-b
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0
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answers
Let * be the binary operation on N given by p * q = LCM of p and q. Find (i) 12 * 56 (ii) whether * is commutative? (iii) whether * is associative (iv) identity of * in N.
asked
Jan 15, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q11
math
0
votes
0
answers
(i) Is the binary operation * , defined on set N, given by \(a*b =\large \frac{a+b}{2}\) for all \( a,b \in\: N\), commutative? \[ \] (ii) Is the above binary operation * associative?
asked
Dec 20, 2012
by
thanvigandhi_1
cbse
class12
modelpaper
2008-1
sec-b
q11
math
0
votes
0
answers
(i) Is the binary operation * defined on set N, given a * b = \( \large\frac{a+b}{2} \) for all a, b \( \in\) N, comutative? (ii) Is the above binary operation * associative ?
asked
Jan 2, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q11
math
0
votes
0
answers
Let * be binary operation of N x N defined by (a,b)*(c,d)=(a+c,b+d). Show that * is commutative as well as associative. Find the identity element for the operation * on N x N, if any.
asked
Feb 2, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q11
math
0
votes
0
answers
Let * be binary operation of N x N defined by (a,b)*(c,d)=(a+c, b+d). Show that * is commutative as well as associative. Find the identity element for the operation * on N x N, if any.
asked
Jan 31, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q11
math
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